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COMBINATORIAL DEPLETION · 8D · RANK-6 · 60% DEPTH

8-Deck Six-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP419)

Removing 22 of 32 Six-Pip Card (Rank-6) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Rank-6 cards inside a 166-card stub (DEP419), producing 45.8560% Banker wins, 44.6285% Player wins, 9.5155% Ties, and a 1.0259% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0259%
Player EV (1:1)
-1.2275%
Rank-6 in 166-Card Stub
10/32
Single-Hand Std Dev
0.9373
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B P B B P P B P B P B B
Big Eye Boy = = ≠ = = = ≠ ≠ = = ≠ = = = ≠
Small Road ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠

Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP419 (8D Rank-6 at 60% depth).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP419)
166 / 416 Cards

60% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-6 Remaining
10 of 32 Cards

22 6-pip cards (standing threshold and Banker 6 trigger) removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0259%

Resolved at 45.8560% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2275%

Resolved at 44.6285% Player win rate with 0.9373 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3602% house hold on the 8-to-1 Tie wager in state DEP419.

FINITE-SHOE ENUMERATION · DEP419

How Six-Pip Card Depletion at 60% Depth Impacts 8D (EZ Bar-7)

Shoe-stub analysis DEP419 inspects 166 remaining cards at 60% penetration of a 416-card (8D) pack after 22 Six-Pip Card cards have cleared, leaving 10 Rank-6 cards and a 1.0259% EZ Baccarat Banker edge.

Because removing 6-pip cards produces (dep419-rank-6) the strongest per-card shift toward (166c) the player side and reduces (dep419-rank-6·166c) barred banker 6 incidence, state DEP419 (60% 8D depth, 22 Rank-6 removed, 10 in 166 cards) registers a -1.13 bps rank derivative and 1.0259% Banker house edge (EZ Bar-7).

State DEP419 (8D, 60% depth, 10/32 Rank-6 left, EZ Bar-7)
Wager / MetricState DEP419 Value8D BaselineSettlement Note
DEP419 Banker (EZ Bar-7)45.8560% (-1.0259% EV)45.8597%DEP419 8D 60% (10 Rank-6)
DEP419 Player (1:1)44.6285% (-1.2275% EV)44.6247%DEP419 166-card 8D stub (0.9373 SD)
DEP419 Tie (8:1)9.5155% (-14.3602% EV)9.5156%DEP419 Rank-6 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP419

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP419 · 8D)

While DEP419 tracks 22 removed Six-Pip Card cards across 60% of a 416-card (8D) shoe (166 remaining, 1.0259% EZ Bar-7 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP419 (8D 60%): 166/416 cards with 10/32 Rank-6 (7A).
  • DEP419 (Rank-6 split): 45.8560% Banker, 44.6285% Player, 9.5155% Tie in 166 8D cards (7B).
  • DEP419 (EZ Bar-7 EV): -1.0259% Banker, -1.2275% Player, -14.3602% Tie, 0.9373 SD at 60% (7C).
  • DEP419 (8D roads): red/blue marks log Big Road columns, never 10 Rank-6 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Six-Pip Card cards leave a 8D shoe by 60% depth (DEP419), Big Eye Boy red or blue marks show whether Banker or Player will win next.
TruthDerived-road red and blue marks only compare Big Road column lengths and never track Rank-6 stub counts (10/32 in 166 cards); Banker carries a -1.0259% expectation under EZ Baccarat.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android